{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7939f51d",
   "metadata": {},
   "source": [
    "# Extension example 2: Autoencoder"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfaf3e9e",
   "metadata": {},
   "source": [
    "An auto-encoder has an encoder and a decoder. We allow the encoder to be an MLP or a KAN, and allow the decoder to be an MLP or a KAN. (When both encoder and decoder are KANs, it is actually uncessary to separate them: you can combine them into a larger KAN.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "46adff97",
   "metadata": {},
   "outputs": [],
   "source": [
    "from kan import *\n",
    "from kan.MLP import MLP\n",
    "\n",
    "# define the AutoEncoder class\n",
    "\n",
    "class AutoEncoder(KAN):\n",
    "    \n",
    "    def __init__(self, width_enc=None, width_dec=None, grid=3, k=3, seed=1, enc_type='kan', dec_type='kan'):\n",
    "        \n",
    "        # this is a bit hacky. The class is inherited from the KAN class to make it easy to create the fit() method.\n",
    "        super(AutoEncoder, self).__init__(width=[1,1])\n",
    "        \n",
    "        if enc_type == 'kan':\n",
    "            self.encoder = KAN(width=width_enc, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n",
    "        elif enc_type == 'mlp':\n",
    "            self.encoder = MLP(width=width_enc, seed=seed)\n",
    "            \n",
    "        if dec_type == 'kan':\n",
    "            self.decoder = KAN(width=width_dec, grid=grid, k=k, seed=seed, auto_save=False, base_fun='identity')\n",
    "        elif dec_type == 'mlp':\n",
    "            self.decoder = MLP(width=width_dec, seed=seed)\n",
    "        \n",
    "        self.enc_type = enc_type\n",
    "        self.dec_type = dec_type\n",
    "        \n",
    "    def forward(self, x, singularity_avoiding=False, y_th=1000.):\n",
    "        hidden = self.encoder(x)\n",
    "        y = self.decoder(hidden)\n",
    "        return y\n",
    "    \n",
    "    def get_params(self):\n",
    "        return list(self.encoder.parameters()) + list(self.decoder.parameters())\n",
    "    \n",
    "    def get_reg(self, reg_metric='fa', lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n",
    "        \n",
    "        if self.enc_type == 'kan':\n",
    "            enc_reg = self.encoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n",
    "        else:\n",
    "            enc_reg = self.encoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n",
    "        \n",
    "        if self.dec_type == 'kan':\n",
    "            dec_reg = self.decoder.reg(reg_metric, lamb_l1, lamb_entropy, lamb_coef, lamb_coefdiff)\n",
    "        else:\n",
    "            dec_reg = self.decoder.reg(reg_metric='w', lamb_l1=lamb_l1, lamb_entropy=lamb_entropy)\n",
    "            \n",
    "        return enc_reg + dec_reg\n",
    "    \n",
    "    def attribute(self):\n",
    "        self.decoder.attribute()\n",
    "        self.encoder.attribute(out_score=self.decoder.feature_score)\n",
    "        \n",
    "        \n",
    "    def update_grid(self, x):\n",
    "        \n",
    "        if self.enc_type == 'kan':\n",
    "            self.encoder.update_grid_from_samples(x)\n",
    "            \n",
    "        hidden = self.encoder(x).detach()\n",
    "        if self.dec_type == 'kan':\n",
    "            self.decoder.update_grid_from_samples(hidden)\n",
    "            \n",
    "    def disable_symbolic_in_fit(self, lamb):\n",
    "        if self.enc_type == 'kan':\n",
    "            self.encoder.disable_symbolic_in_fit(lamb)\n",
    "        if self.dec_type == 'kan':\n",
    "            self.decoder.disable_symbolic_in_fit(lamb)\n",
    "        return None, None\n",
    "        \n",
    "            \n",
    "    def fit(self, dataset, reg_metric='act', steps=20, lamb=0., lamb_l1=1., lamb_entropy=2., lamb_coef=1., lamb_coefdiff=0.):\n",
    "        super(AutoEncoder, self).fit(dataset, reg_metric=reg_metric, steps=steps, lamb=lamb, lamb_l1=lamb_l1, lamb_entropy=lamb_entropy, lamb_coef=lamb_coef, lamb_coefdiff=lamb_coefdiff)\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b9b27f75",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = torch.normal(0,1,size=(1000,4))\n",
    "x[:,[2]] = x[:,[0]]\n",
    "x[:,[3]] = x[:,[1]]\n",
    "\n",
    "fraction = 0.8\n",
    "num = x.shape[0]\n",
    "train_num = int(num * fraction)\n",
    "test_num = num - train_num\n",
    "train_id = np.random.choice(num, train_num, replace=False)\n",
    "test_id = list(set(range(num)) - set(train_id))\n",
    "dataset = {}\n",
    "dataset['train_input'] = dataset['train_label'] = x[train_id]\n",
    "dataset['test_input'] = dataset['test_label'] = x[test_id]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21638921",
   "metadata": {},
   "source": [
    "Case 1: KAN encoder, KAN decoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "988cce8e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 1.22e-02 | test_loss: 1.27e-02 | reg: 3.36e+01 | : 100%|█| 100/100 [01:02<00:00,  1.61"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "enc_type = 'kan' # 'kan' or 'mlp'\n",
    "dec_type = 'kan' # 'kan' or 'mlp'\n",
    "\n",
    "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=0, enc_type=enc_type, dec_type=dec_type)\n",
    "model.fit(dataset, lamb=1e-3, steps=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3474c959",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 38 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.encoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cc26bec0",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 40 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.decoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c30b90e9",
   "metadata": {},
   "source": [
    "Case 2: KAN encoder, MLP decoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e52efc2b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 1.16e-02 | test_loss: 2.59e-02 | reg: 3.83e+01 | : 100%|█| 100/100 [00:33<00:00,  2.96"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "enc_type = 'kan' # 'kan' or 'mlp'\n",
    "dec_type = 'mlp' # 'kan' or 'mlp'\n",
    "\n",
    "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n",
    "model.fit(dataset, lamb=1e-3, steps=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6c11693e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 38 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.encoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "db33a245",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.decoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe7e145c",
   "metadata": {},
   "source": [
    "Case 3: MLP encoder, KAN decoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "97fedb70",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 3.29e-02 | test_loss: 7.09e-02 | reg: 4.95e+01 | : 100%|█| 100/100 [00:22<00:00,  4.43"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "enc_type = 'mlp' # 'kan' or 'mlp'\n",
    "dec_type = 'kan' # 'kan' or 'mlp'\n",
    "\n",
    "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n",
    "model.fit(dataset, lamb=1e-3, steps=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "028bdd48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.encoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a474cf60",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x400 with 40 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.decoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "687b4388",
   "metadata": {},
   "source": [
    "Case 4: MLP encoder, MLP decoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "170a99ea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 2.62e-02 | test_loss: 3.64e-02 | reg: 3.19e+01 | : 100%|█| 100/100 [00:04<00:00, 21.95"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "enc_type = 'mlp' # 'kan' or 'mlp'\n",
    "dec_type = 'mlp' # 'kan' or 'mlp'\n",
    "\n",
    "model = AutoEncoder(width_enc=[4,5,2], width_dec=[2,5,4], seed=1, enc_type=enc_type, dec_type=dec_type)\n",
    "model.fit(dataset, lamb=1e-3, steps=100);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "66cbcede",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.encoder.plot(metric='act')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5fbc1a02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XyzoKY/r0CTgRxReXLwOL1lTAv3uKcO+9nNcgZsVv5kxeTZO03r1nD8/ZZ82Sba9YgiH5JjQdPi6O65qlULEijyVFBvHsdl6x6iVmB0gnunfn9NzDh4H//IdHz6Jo107aQ0wOjsIY2RU/vrHbgd9+4w43sbsN/W6+IClEULcucNNNXNsgiqwsHl5pGKQzevJNaDp8TAz3UFLHzrVrcwBPhMjdH39wIpycmJZDV+/tt1lXb/JkEYdUu1w2KyvwwhgfOOvJ3X8/ULueWVbCwpNPckDUS4VtKXY7B+lefpmDsxEAhKrDA5wGKmZN3p0GDYCTJ30G8bKzgb17A0/SatCAM/U6dxahq9e5M5eFqQGRaoUxPvXkfCzPeSM6mp3e7wh92jTODlSkqCF0CF2Hb9aMF3WljrGcg3hevrtmDZe+KjVnc+jqOZzCo65ebCwHIgNMCfbI779z2ZkShTHFiNKT81Mq641+/TiL2quw75IlvIY3fLjktkOd0HV4k4knfY7qCyn4COKdOMF+16CBAjY6ERPDktk+dfVuuokrSpTk9Gl+uCmYUy5aT05kiq07glAqlFGGvXuBzz7jJRGNiQTt9MZfnbwvKlbkQI9TEI+I81HEqjLLwaeuntLlso7CmP79FblbJevJ+ZC78kfz5ixK4pKecPEiyxN99lnZxXyNiATt9KR2bS6gllvN4hbE+/tvdkjZYgsicejqLV7MSSn33VecPNi+vbSkIn/88osihTGy9eRElMn6YtIkTokvKEBpkG7mTPnyW2FAaDs8wIUfe/fK/379+sDJk8jPLsBff6kWxPZIuXKlQ9cnngBmvWVGUbkKymg5Z2TwwyzAwpiA9OS8bEwhlooVWZVq9mxwLW3fvqwJHsEroe/w8fHyovUOzGagfn38/M1ZJHWhwEQXZOKsq/fB7m7Y/UGA5bJSd4zx0oQienIBct99QOb8pcjNOMtJ9xF8EvoOX64c34kBbCB3/koUzhZURvNyypXTSsWhqzdiQU9kLvrJr66eT9asYckYGUkEiurJAQH38qa0f/FE1GyMt7wZgBHKEAnaGYUAe/lVq4Bb/xPLN+f588rZJYMK1zdBUu10n7p6PklL44CWDFmes2fZ0bOyFNCTcxAbKztwh0uXgNGjUfnbz5APmyHUwCJBOyPQooW83Q3A/lGtWvEGorVr802m9nazvhAEoF49xFU75lVXzyvZ2ZzbKrEwxllPrn9/ICkpQD05Z2QuzZUE6WbMAOrUwfTpwPPPG9/h9CY8HN5s5gqXkyclfa2oiGvde/RwelNEJp7qFJfLetLV8yrKK6MwhkglPTln5Dr8zJmc/XTzzQA4e7ZnT+CrrxS2L8QID4cHZK3J//Ybl0+7LOmazRw985GJpzpu5bIOXb1Ro3io/cknHlYi//6bvUJkYUxmJjvPqVMK68m5ExUlfefO5cs5A2rUKJe3H3uMKxIvX1bOvFAjfBy+bl3umUWuyV++zGpZHrcHj47m/ccU1MSTRK1a3JW7PXASElhIgshNVy8riwvJExP9Nu2sJ9enD49uVC00kxrp2rcP+PBDj6L1NhtvYvHKK8qYFoqEj8MLAoeV09JEfXz1aj8bQVaqxENjvYJ4bdrweNsNs9lNV+8JQvY3K7iQxM+6mbueXLVqKtnujllk5dylS8Djj3MmnZc96fv0YZ2C/fsVtjFECB+HBzhTTUQo9+hR9g2/e4rXqaNfEM9PuaxDV29kq9/x7Nzm+GJ5Va/6Gb705DRBzDzebgceeojrievW9fnRl17ykmcfIcwcvnx5vnF8LAMRsQ66aLFWvYJ4iYnAxo2+P3PmDNpVzsCbGzp41NUToyenCWJy6l9+mY3s1Mlvc40a8WDuxx8Vsi+EEIjCbCFj1y5OKS2O7rqTmsoxJEkptHl5XCLWqJG2XeOAAbypgqdJdlERh9cHDy7JjDl5kre/rlaNA3GpqTzvb9tW56SRnByOSXjLy125kqtyPvpItKFXrrCi0LJl2j7E7HZ9Mg7FYmDTVKJlS49zX4D9dvt2rkKVRHQ0e5GcUtxAuPFGLk3zxM8/Ax07uqTB1akDvPsuD3SGD+dpsO7ODvDv521In5bGSxDvvCPJ0PLlOdP2vfcUslECRu5Cw8/hLRZexzp9usyffvqJpdhlJZVUrsxf1DKI561c9uhR7uKctLOd9eQeeaR0o0ZJunpqYTJ59pLLl3mtzUeQzhd33cVTFonpF6ENhSMZGUQrVri8deYMUUpKgO3a7UQHDxJlZwfYkEgKCoj693d97+pVorlziXJzS946fJjo88+JUlPZRGeOHCG6916iSZOIrlxR32Sv7N1LVFRU+m+7nWjIEKKNGwNqdscOolGjArRNAkVFZX9jIxF+PTzAiTPHj5fIPhNxgCdgYQtB4CDe8eMSE9xlYrFwLrqzWKdTYYxPPbliHLp6iYkidPXUpHhjihJeeYVzeEXkDvgiLo4HB3/8EaB9IUJ4OrwgAE2blizW7t3L89sqVRRou7icFkeOaOM5XbvyuBXg+a7FAvu1Df3rybnRt6+rrt7Bg+qb7oLz0tyPP7Kw38MPK9L0Cy/wap7asv6AAeIhfghPhweA668HUlNRWAhs3sxzd8XQMojn2IYqJwf47Tccb9FTnJ6cB5x19Z591ouunlo4HH7/fg7QvfuuYt5TvToX/Th+F7WJBO2MSKVKQH4+Nv6Uj5tuUiF9tHJlDkYFtAOiCJo1A/79F7mLV2EpBmDLdqs4PTkfNG7MiTgedfXUIjaWl+YefZSDdApvYvnQQyzBlZWlaLNBR/g6PICLja5HxuajaNNGpQPUqcNyVHLrvUVAELAttyUW/tYAcd2riteT84NXXT21MJl4eDF1KsdYFMZi4VHLzJmKNx1UhLXDrz7aCn2qbFFv3qVyEO/UKeDL2TnIq1IHwxL2SNOTE4lDV2/y5GJdvVnqSOPjtdc4qtiliwqNM9268WpsIBKHwU7YOvzhw0B0eQtqNxC/n5wsVAjilejJbSTcYVmGTi/1h2nDz4q07Y0WLUp19W6/nXUCFGP1ai5NHDZM9aDBiy/yw0utebaMzXQ0JSwd3m7nfJVevRCYdr1YFArildGTu+YPVIhrxNmDp0+rfqc5dPW++YZTVgPS1XNw4ADw1lus1RWgbLUYGjTgeO2yZaoexrCEpcP/9RenlMbGgvO3tVhCCzCIV0ZPrsIZtjshgT/QurVmY9VKlXho/9RTrDL13nsyZyxXrnDa36ef8kNRA4cHuGb+/fc1OZThCDuHz8nh+pmOHYvfEAQOSx84oP7B69Rhj5UQxPOoJ4ciVqi47bbSpSvH8pyGtGvHa/cVK7Jtv/0m4ctE7OyTJ/OUB5AvdyWRmBheDHjrLdUPZTjCzuHXrWPfcFmy0mJYD7BzXnutqCCeTz25X35hm531obt0KU3A0RCTiUccKSksieVTV8+ZWbO4+Kdr19L3bDaVIoJlGTSIR3p6iRbpRVg5/KlTHBMqo9BcuTL3LDJ2MpWMCE08n3pyR49yKm3r1q5fKl+e7ddJXNNZV2/4cC+6eg7WrmUV4dGjtTTRBUEoDeCFE2Hj8I6NIL0KW7Rt66oOoSYxMZzHe+KEy9vOenJ9+3rQk8vP52H7rbd6brdjR+62dCQhoTQf30VXz8HBg9y7v/++50y6ADemkELr1vyg8qcjEkqEjcPv3s0R2kqVvHxAS4cH2OEFAbhwAUBZPTmPW7WvWcOTeG9ZaErvLiuTMrp6TxafZnY2/+HTT70n92s0j3fgSCXWotbJCISFwxcUcLWUz5wOm42zTNROhXWmTh1kHbmIr7/M968nl57O6WKNGnlvLyFB9x7eGYeu3l13AUPuIRzo/SjsEyfxk9cbAWwhLYcqVXi7rDlzNDukroSFw2/YwJJVfvdfSEjQJniHYj25jQKW7aiPHs2OoXePQu9STDk5XOHjb8cYq5UdxmDC7J07Ayt6vYljtTpg0NvdfA+kNFqac2b4cF5tUEq7xMgVcyHv8BcusOKJqF2RGzbkskyV1+QPHgTmz+dY4X3DzKjRro73IJ5jx5jevcVV+CQlGW9Sum4dzP/sRtfvnsDs2cCbbwJjx7qW8ZcQFaVN8NQJs5mDd9OnK9emUbPtQt7hHQEwUU9dQeA1sMOHVbHl8mVg0SIOUA8dyuvYggCvQTwAnFpXo4ZfaeYSdFiP98mhQ5wn/8EHgCCgTh1g7lxOIbjzTs7ac3EOnXJTO3XiPKCdOzU/tKaEtMPv389JITVqSPiSCmvyznpyiYlAv34eJNoc6hvFQTwAXGm3c6e0gpIWLYxTHZKTUxqki411+VP37pzeeuQIz6FddPXEbkyhMC++yMV6Ru2dlSBkHd5u5/wUiRulcs775cuKJYAcOcLD9+hoXlOvXdvHh+vWZYfPzeW7bvlyfjpIKWwXBN6KKuAk9wAh4nS2iRO9yk/bbMC4cZzxNn06D6uzs6F5pN5BnTrc0y9apPmhNSNkdel/+41vKEequST++ot7mfbtZR8/O5tX0cxm3uTUn8RUCYWFPAw+dYqfEiU5wBJYsIAdf+hQ6d9VCkfe6tNPi/7KqlU8v3/mgXPo05sg1JQyNFOGq1e5GnDxYvm6Ag6PMmLwLiR7+OxsHtV26CCzgQDW5O12SNaTc8Fi4fH+tm3yT6BHD33n8evXszjeU09J+ppDV2/Hvhg8/mCu9rp64J/+ySc5NygQjNqNhqTDr1nDQW3ZT9joaL7yEvWQjh+HbD25EoqKeC5yxx3yBdUdO+XqcdcdPsyKsx9+KOsCxMQAz06LwbNP5mqvq1dMv36cqKVS7FZXQs7hjx9nn3EUYMmmQwdRG08CPN1cupR79kD15LBhA08lHMkpzkE8KbRsqf0OEzk5LB73ySdlgnSSMJnQ4Bq79rp6xQgCq/yE4oaUIeXwRNy7i94I0heOklkfvSQRPxMWLmT984D15I4d48i8Q2TPOYgnFa2X54h4K+cJE3hpM1AEAQJIW109J5o142eunExlI87dHYSUw+/YATRp4lo1KhuTiYcJXu6wU6eAL7/k4eawYd73QRRNfj7fXc67YTg08Y4dk75MlZSksA6VH959lx9UkpdFvBAdXTKWd9fVe/11bapoJ07kY8mp5YnM4VXm6lVg61ZRuwmLp0MHbtTtOCtXAps2cY/eqZNCu4WuXctO6h7hs1g4GCBVladCBR4ZaFEV8ssvnLvwzDPKtekhp96hq1e/vgq6eh6oWJGXUj/6SN3jaEnIOPzPP7OWgqyNIL1RowYH7goLXfTkWrTgZBFFRhIAF8aYTN4LY2JjOQ9XahCvY8cyDyzFOXKEu18JWzmLwktOvSq6ej64915+Fp85o94xtCQkHP78eX65CEUoRatWOLvxXxc9OV8Fa5JxFMb06uX7c1Wrcg8vJYjXs6e65bK5uaVBOiXE8J3xk3zjrKv30EMB6Or5wWQCnn+eX6FASDi8I19eafLzgTVnr8f6RZmlenJKjiAcu1iKLYyRGsS74Qbv+8cHiiNIN26cBwkhBbBYRHlwu3bAkiUydfVEkpDAp6tRIaWqBL3D79vHe4dVq6Zcmy56cs2jcHficVQ2eSrtCpBdu9hwsYUxUoN4VivnE1y5Epidnnj/fV768zcy0QBnXb2FCyXo6klg2jTelFKLDSnVJKgdvqiIl2u6d1euTWc9uQceKJ4mXH89sH27cgcBePnt77952CAFqUG8Ll04wqgkGzbwyGHsWGXbdUdiqWzVqrxYMGoUPwB86upJpFYtfrZ99ZUy7elFUDv85s0cl/IqHCEBT3pyJYIZzZqxBpVSay1EwIoV0gtjHEgJ4vXqpex6fEYGp799/LH6C84yi2gSEjig51VXTyaPPcaZlAbTF5FE0Dr85cucFxMXF3hbfvXkTCYediu1/fOff3LCQCDzkKpVeXzpL/23ZUtgzx75x3EmN5d3nvj4Y+WDdJ4IoGrOWVfv00+ddPUCwGrlkMXLLwfWjp4ErcM7FGgD6WSysnhbZL96cgB3G0oscZ09y9Vwcqrg3KlXj5cnfCWbCwJQsyZvRRUIRMCYMbxtS+PGgbUlltjYgPXtatTg59Ndd/ES2xdfBDYP79WL75f0dN+fM2q2XVA6fEYGP8HFxrrcccz9ly/noXvv3iKmBbVq8aaTgaz9FBVxVL5/f2XuCMfGFkeP+p6s9ujB85VA+PBDoGlT/rG0QsGNKTp35mF+VhZvQhGIQLHYPHsjZtsFncMTcSKE3PvOWU9u6FCJajitWrE+lVwchTGKZeygNIjnY2OLgPPqf/2V17vGj5ffhgGwWDg116+unh8aNuRbYeVK5W1Um6Bz+NRUnpZKnUJ61ZOTQny8/Gj9sWPcvTgKY5QkNpYzUbylnNWrx3p5crqco0dZjmb2bH3GqRaL4htT+NXVE8G4ccA772iutxkwQeXweXlcIHPTTeK/I0pPTiyxsRzAk7qu7SiM8bZjjBJUrcrDem9BvGbN/E883cnLKw3SlS8fsImyUFHuyqeunh/KlQNGjuQMP08YdQ4fVBJXK1ZwHrvYmNGRIzx1jYvjpXRFLsI//3CgTIqwpFTD5ULEc5Z69cruTrNsGY8yHn1UfFsPPwwMHqxOGqNYMjO5h69VS9XDZGRwdVzDhvxfMSNIIo4HfPwxjxrc/0akUGGVghjMHO+cOcPzLTE+k53NPfrff3OhRfv2Cj5xmzeX1hXs389XXYvItq8gntRy2Y8/5rtfT2cHNBO0bNCAC6MSE7kK8ocf/A/zBYFnO1OmqG6eYhjS4e1u6yZE4vLlA9aTE4PZzL2NW9KLu80AeElp0yZt00+dg3jOVKrEU5HiB4FHex1s3MivZ59V0VCRONXF+7RZIRy6ejt3cmfhT1cvLo5ner//7vnvWtgsCTIAqampNHr0aIqLiyOr1UoAyGq1UlxcHI0ePZq+/XYPrV3ru41jx4jmziX680+ioiKVDT5+nPa/9ZZPm1O3biVatIgN04Nz54hOnCj5Z2pqKq3o2JGGNm3q2d7UVP7g0aNEPXsSXbqkj91OOO6LQc2b+7ZZJfbvJ7rzTqIZM4hyc71/7tw5oltvJSosLLW5Xbs4slhsmtvsD10dPj09nZKSkggAWSwWAlDmZTZHETCKEhO7U3p6epk2cnKIfviB6Pvvia5c0c7mkQDZzGaPNlssFmoL0BPt2nm0WTMyMujAtm0lv3FXs5kmerEXAPVMTKQrSUlEaWn62Uxl74tmAJm82JyUlKTqb2y3Ey1ZQnTLLUSrVnn/3LRpp6lZs1fc7mVBF5t9oZvDJycnU1RUlFdHL311J6A1WSwWioqKopSUFCLiC5GaSvT550SHD2tvcyJALb3YXAGg+4sfCM42a03yggXU0majcsUPJitAS3z81p8IAg2wWHSzl8jzfVEfoFgvNrvfF2px5QrRc88RDR1KlJFR1mabLZYE4UcCKjnZZ9LVZk/o4vDJyckkCILXG6/0VZGAB1zeEwSBPvjgO5o/n2jzZg2G715sLgfQvV7sHgJQNTebk5OTtTHUzV4LQE2ceshvvTjPQwA9p6O9zja721YNoOp+7hWtbN67l+iOO4hee43o6lV3m7sQ8Lpfh9fzvtDc4dPS0igqKkqEs4OAOwmo6fRvGwG3ksVyD23fvl93m+8DKMbtvRsA6ujhXKKiojQbxrnbGwvQdcX//yRAt7jZ1gmgFIAEnez1ZLPzK7a4l/d3v2hls91OtHAhUWLiFbJae7nZMY+AFqIcXo/fWXOHT0pKEjGMBwHXEdDf6d9tCRhBQEOyWCyUlJSku81tALrZrSe6x8v5aGmzJ3urAlQboNYAveL0fl2A1gJUXkd7vdnseJkAaibC4bW2uVOnviQIswiYQ0CtYjvqEfCdaIfX2mZNHX7r1q0ie3aBgJEERBNQnYChxMMl1x9Qi4inL5vNAD3odFPeD56/+zo3tW32Ze81AFUEaEXxv23F/+/LmfT+jR2vFqLuG71sbkvADwSMJsBMwHMEDBDl8FraTESk6Tr8vHnzYClRlfBFRwD/AOgCoAeA5QA2Aihd07RYLJg7d64aZrrgy+YiAOcB1ASQBGA7AF/aCFrY7MveYwCqA7gAoAaAtwF8ACDNS1tG+I0dkMi29LF5F4BBAC4BWAZgM4DHAUR7/rIbWtkMaJx4s3HjRhT6LS+NAXALgJYADgP4BsDFMp8qLCzEJqWlmzzgz+ZUAL0BVAGw209bWtjsz94MADsBzARwAoCvgi+j/MYAkAdx7qOfzQTgCwBDAQwGd06TRbWllc2Axrn0NpsNBX4rn+YD2APgDXAf6h2r1Yp8lbcgEWPzS+iE6TiMPJzw257aNouxdzCA9wHUg/+e0yi/8VMAfgUgZrc/I9hsRgdUxjfIQhyK4L/YSgubAQ17eLvdLsLZAR5kxsCfswNAQUGBqqmLYm1+DgeQhxcB+C/wUNNmsfb+F0BniBsmG+E3vh88dRK3taf+NlcD0Aap+ASNRTk7oL7NDjRzeJPJBKsY7XX8BeBGUW1arVaYVCxHEm/zaQBTAbwEwF0QzxU1bRZj7w0AzgI4JLJNvX/jOwFEAfhSQpt62WwC0BBsb2P4ni65o7bNDjSdw7dq1UrEpwjAfgBN/H6ydevWgZrkF3E2AxwSmwHgVQCVvH5KbZv92TsJPH8Xi56/8QDwmOkzie3pYXM5AE3BD9MTYNuXSWhPC5sBjR2+S5cuIqP0i8FRT+9YLBYkJiYqYZZPxNsMcJDx9eJX2YJqLWz2Ze8tAHYAELtNmp6/cW+wA70vsS09bK4DfjDtB3AFgA38yDfa7wwAmq7Dp6amilyXtBCw1BBrl+Jtdn61IeAjAmI0t9mbvQJAq4rX4aWcix6/cVeAJsI188+INlsBaoqyab99ARpjQJuJDJ1p9xkB13j8m5GywLy/2hPwHnE6sP6ZdncC9JQE+/X6jW8GaCrKVscZzubMTLovIaGkMMn59TFADYxoM+ng8Onp6SJz6fsT8JjHv2mdfyzeZvfXTQS8RYBFU5vd7bWA02ejJNiux298k9VKM4rtldOza2JzURGXZx45Quke8v/NAC0zms1O6FItl5KSIqJaLpqA78u8LwiCLmWF4mz29OpKwOu0YMFXutn7EEDDJdisy2+8cyftGTBA0kNJc5tzcrhcLiur5C33+6ILQM8ayWY3DF4P/yUB1biX0rGGWJrNpS+HzRMmrKfnntOulNfZ3so2G60TBDJLsFfz33jvXqKxY4lycmT/xqrbfOoUC4Pk55f5k7PNbwDU3Cg2e8Dgijd3k8n0IAGgrl276qseI9rm0vedbV6yhGjaNC6t1JKzY8fSc61aSbZXM/bvJ3rmGaLLl0vekvsbq0JBAVF6OtHJkz4/lp6eTkldutAKI9jsA0Np2sXHx7tol7Vt25maNEnVXQfMEyU2u2naxcfHe9UuW7iQ6JVXNHT6zEyivn2J7Havv7Eve1XnyBGip592GSI7o7vNFy/y6EOsdtpff9GJkSON9zs7YUhdervdXpJ1dOedwOefK7s7k6IQAYLgYrMv5s3jreGffFJ90/DssyzD2q1bmT+JtVc1TpwAXnsNmDrVw3a9ntHMZiLeKbiggPWrzWZx35syhYXqO3QoeUv339kN41jihPMP1K8f779odMRe1OHDeeebTz9V1x4cP877YHtwdkC8vapw5gw7+3PPiXZ2QCObr17l3y02lnX5xTo7Ee+D1r69y9tGcnbAoA7vTP/+vGmKIZE5OHr4YZaI/1JKgrhUXnwRmCyuPFNTLlzgDdbHj+dtrI3E+fO8F/R110l6EAHgTQtbtjTuHlPFGN7ha9TgjSB9bYEebAgC8NRTvPPTt9+qcIC0NH6iuPU2unPpEjBjBvD00/L3+laDoiLecSIvj/fgk7P54OLFwMCBytumMIZ3eIA3blm3Tm8rvCDziS4IwIQJwO7dvE+9okyfznNjI5GdDUybBjz2GM+LjUJ2Nm+yWaMG79gjt4f+7TfehN7gBIXDDxzI2/+EGiYT8PzzwObNvOe9ImzdyttKNW2qUIMKkJsLvPACMGoU0MR/FaRmnDzJW2w3aRJYVPjIEeCaa8TP93UkKBy+fn2+Nn7VsYIQk4lHuatWAb/+qkCDM2cCkyYp0JBCXL3KI4777+c5rhHIz+de3WLhTT5FV0N6YckSjs4HAUHh8ADvzrxxo95WqIPFwnGs774D/vgjgIbWr2enMsr8uKCAn2b/+Q/Qrp3e1jBZWTxfv+YaHsYrwfr1vNl8EBA0Dn/HHRwXCVVsNuDVV4EvvgC2b5fRABHw+uvAuHGK2yaLoiJ+ivXrByQk6G0Nby185AgHDps1U25b4dOngcqV5QX6dCBoHL5ZM95q3Wi77ypJdDT77McfA3v2SPzy4sVAjx5AlSqq2CYJu53X2bt0ATp10tsajiGkpXFso0EDnkcpxbJlQRGddxA0Dg8AHTtyTCqUKVcOmDULePttnmaKorAQ+PBD4PHH1TRNHETAW28B119vjGHumTO8/tm4MffESrNqFdC7t/LtqkRQOfygQQYa1quYkVyhAneQr7zCeSB+mT8fuPtuzg7TEyLggw846t23r762FBaWDgmbNgVEiZFKJCuLAzDlyyvftkoElcPHx/P81njZ/8pTpQo7/PTpnCXrldxc4KuvOGdXbz77jLPn9B7iXrrEzl6nDlC7tnrHWbkSuO029dpXgaByeEEA2rQB/vlHb0uKUTmNskYNXmWbMoVjQx758EPgkUfU6cGksGABRx7vuks/G4h4+H7+PPfq5coKiSrK8uURh1ebUI/Wu1OnDieoTZzI97ELWVmcsTN4sB6mlfLtt5yx9sAD+tngKHqJiZFW9CKXnBxOxZWac68zQefwN93EWYzhRP36nEszYQL7eAmzZgFjxyobdZbKsmWcFfXQQ/oVjjgXvVSrps0x164NqmCdg6BzeLMZuPZa4NAhvS3RlsaN2bfHj+e6GJw8CezaBfTsqZ9Ra9Zwldjo0fo4e1ER3wi5ufKLXuTyww/6xypkEHQOD/CwfskSva3QnhYt2LfGjQMKp83k8le9etUNG4C//gL+9z99RhiOopfq1TlrTsvfIT+fRxV16mh3TIUISofv1g34+We9rdCHdu2Ax/ocwI71mbjarqM+Rvz+O1+ACRP0cXalil7ksmED0LWr9sdVgKB0eJuNp2onT+ptiT60XTwd5mlTMWECp6trSmoqsGIFBxUCLTqRSkEB9+pmszJFL3IJomIZd4LS4QFgwABg6VK9rdCBHTuA6GhcP6QFBg5kvyvyv7O2MuzaBSxaxFMJrZcBs7KAAwd4+K6nUk5REQcIGzXSz4YACFqH792bY0a6oGfmz4wZvDAPzlzt0YNLzVWvMdi3jyt7pkzhpH+tUKvoRS5//slLRUFK0Dp8uXIclM3M1NsSDdmwgYey11xT8lbfviySOnOmis+hgweB2bNZrUPL9F01i17ksmQJR42DFAP8gvLp14+nk7qgdXSciOtnJ0wo86dBgzix7PXXVXD6jAzgvffY2bXMGVe76EUORKxJptFe7moQ1A5/222czhwWLFsGJCZ6TSy55x6e2r4vdUN1X5w8Cbz5Js/ZK1VSsGEfOIpeiorUK3qRy99/A3Fxhlem9UVQO3yVKrwkmp2ttyUqU1TEvayf3SuGD+cAtiKa92fP8ohi4kTtstcuXy4tejHiGvcPPwRtdN5BUDs8wHPY1av1tkJlkpM5X15EMcijj3J8a8GCAI534QIHBcaPB2rVCqAhkTiKXs6d06boRS5btrAoQxAT9A5/++0hvjyXl8fR8ZEjRX1cEIBnnuGp93ffyTie1trxWhe9yCUtjRN9jBA4DIDgth5c7pyZyfdNSDJ7Nss722yivyIIvK3czp0SNe+zs7kA/7HHuGBBbfQoepHLkiVBmTvvTtA7PMBr0SGZanvpEi9DyKgxd2jeb9okchOPvDyuw33wQfW14/UsepHLxo2s0RfkhITDDxqkYTGNlkk3b73F43OZw0iTibeY+/FHP5r3+fns7EOHAq1aybNVLI6il2rVtC96kcuxYzyUNNKKgUxCwuGvuw44elTDFFMtOHOGFTv79AmoGWfN+y1bPHygoICfCoMH85KTmpw8ya8mTYCKFdU9lpKEQHTeQUg4PMBqyJoJY2jRK730Em+nrMCxHJr38+ZxKn4JDu34Pn3UjT47F700aaJf0Ytc1q3TV3dAQULG4UNK+urwYe4Jb75ZsSYdmvcffVSsCWi38xuJiepugmiUohe5nD3Ly4Ra1g+oiEAUGhqwRJxqu3Klyh0wkfo9/IMPsrCECimcly4BzzxNeLnmW6iR1BK49VbFjwGAf6ejR/m/9esH73LWvHlcP6CnOKeCBOlVKIsg8HbosrZpMhK7dvHJqJSvXbEC4d0WH+LrvxrhcEuVnD03l6vrKlbk5b1gdXaAexC9NfYVJIivRFkMtVGFXGbMUHdv988/R2z9arj7q0H+Ne/lcPYs9+yNGhmn6EUuly7xCCWYAox+CCmH79AhyLei2ryZ57pqJb0sWMCBs3vuQY0aHJyfMoUXBAKmsJDn6oWFvLYuIVHIsKxaxfPEECKkHN5kApo3ZyHVoIOII+YTJ6rT/qJFLHc7bFjJW3XrsnjGxIkB6go4il5q1zZm0Ytcli0D+vfX2wpFCSmHB4JY0fbHH4EbblBuz3Jnli/nsfvDD5cJODZowKt/48cDFy9KbDdYil7kkJfHD0g1roeOhJzDd+7MWZCqoNaCht3O28U+/bTyba9dC+zdC4wZ43V1oXFjXhQYN65Y814MwVL0IpeffgqZtXdnQs7hLRYeqh45otIB1FiSW7iQy/6Ullz+9VdOrxOhHd+yJe82PX48B9l9kpkZPEUvcgliZVpfhJzDAzysD5qS2fx8YM4c3qpJSf74A1i/XpJ2fFwcpwCMH++l+tBR9JKTEzxFL3IoLGTdeyftwFAhJB2+Rw8ekQUFn37KUjVKOs/27Txvl6Edn5DAclkTJ/J9X0IwFr3IJUQq4zwRkg4fHc1Lp163WDYKV67w0PHee5Vrc/du4OuvA9KO79yZg9OTJxfLX586FZxFL3IJ0eE8EKIOD/CUWJL4gx688w7r1CkV8Nq3D5g/nxN3Asz97tED6NqpAO+MSYcdpuAsepGD3c4jmWbN9LZEFULW4fv25bwJw3LuHJf33XabMu0dOsTqOFOnKqMdf/Eibm12AI26XIOXPqup694bmrJ1Ky+Phigh6/AVKnCsSvLasla88grrUCkxFz56FHj3XXb2QCP9RCyIl5UFNGuGgffEoHFj4I039N1wRzNCeDgPhLDDA6XVc4YjI4PXDZUIDJ06xd44eXLguet5eTwtqFDBpehlyBCgalXgww8DN9fQEHHAU20hEB0JaYe/7TYF5/FKdm+OJPZAOXeORwpKaMefPcsPokaNWPDfjQcf5MHInDmBHcbQ7NkDtGkT0isQIe3w1avzkrHfRBIt+ecfXntv1y6wdhza8ePGBaYd71z00rSpz6KXRx/lkX5ysvzDGZoQH84DIe7wAO8yu3atQo0p8eRXovzVoR3/5JNAvXry23EvevFzfg7N+8OHQ6AM2RN//BHUO8OKIeQdfsAA1iA0BH/+ycUYgewt7tCOf/RRTm2VAxEX05w9K7noRRB4BrFtm0HjI3I5eJAriUKtJsCNkHf4evU4AaegQGdDiHgIPmmS/DacteObNpXXhqPoJTqaHzwybnCTic349dcgymj0RxgM54EwcHgA6NbNjy67FqxdC8THy59v5+dzz37vvfK14xUsenFo3q9cyZtdBD0bNvCNEuKEhcPrLn1lt/PS2f/+J+/7hYU8Ohg0iB8aco5/6BBPBxQserFYWE37m2+Av/5SpEl9OHmS1x1DQaXHD2Hh8E2a8BTNbtfJgEWLOPVPzh7rDu34W26RlwGWk8ND+GrVWD1W4SWnqCjgtdeAuXN5+/SgZOnSsBjOA2Hi8ABw440cM9OcggJOeX30UenfdWjHd+rE+vFSOXUKOHFC9aKX6Gh2+g8+KNa8DzZWr+YHahgQNg4f0EYVgSTdfP45cN990otZiLi4Ji5OuvKKY6cXQdCs6KV8eWDWLN4Ob/9+1Q+nHJmZPExRov4gCAgbh2/bliXfNc0Hz8nh4fz990v7HhFvEXPdddI3irh4kRNp6tULLCFHBhUr8pZWL7+souKQ0qxcyaWVYULYOLwgcHLbrl0BNCCV995j3SipPezcuZzeescd4r/jKHq5cIEDczr1WFWrssNPm8azCcOzfHnISVH7ImwcHtA4Wp+ZCfzyCzBwoLTvpaTww2XIEPHfycvjwFyFCjwq0Hmnl5o1ORFw8mSFNO/V4soVnv4E+4YZEggrh9c0cPfaa6wnJ2Vk8P33nDY7fLj47ziKXho29Fj0ohf16gHPP89ZeRcu6G2NF9asCaltpMQQVg5vMnFymepBpePHuceVksixciU7rgfteI8UFfFcvaDAb9GLXlx7LTv8+PH8HDMcS5eG1fwdCDOHBzTaqOLFF3k8K5affmItuieeEOfsV65wFL5WLdbkNnA5Z5MmLLcvSfNeC65e5dK/2rX1tkRTws7hk5I4i1I19u3jO7t9e3Gf37iRq7TGjvU/93YUvZw5w716+fKB26sBrVoBjz3GPX1ent7WFPPzz2GRSutO2Dm81cpBJcV3TXUgpfx1yxZg3Tpx2vH5+dyrR0XJLnrRk7g4YMQIdvr8fL2tAZdQhkl2nTNh5/AAB85V2ahi61ZOnxVTybZjB990YrTjMzM5F75BA1b1CFI6dgTuusuD5r3WFBWxDqDc8uIgJiwd/pZbOEArCimZOmLLX/fs4e2lpkzxHWyz27m6zVH0EqD0tBFITORl7xLNez347TdOVw5DwtLhY2I4L+XcOQUbXb+eN2irW9f359LSgHnz/GvHO4peqlZVpehFT3r25FjKCy/o5PRhUvvuibB0eIB3VlmxQuSH/TkbEa+7jxvn+3OHDgEff+xfO16johc96dePK31feUXjdGci3k23ZUsND2ocwtbhFZWwXryYuy1fiS/HjrF2/JQp3rXjdSh60ZPBg3mt/s03NXT67dt5BSWERkxSCFuHr1SJh5OXLwfYUGEhC7Y//rj3z5w+zaVkkyZ5fyjoWPSiJ0OHcmbrRx9pdMAwHs4DYezwgELbUc2fD9x9t/ch+rlzXE0ycaLnCDsRR4x1LnrRk5Ej+eE7d64GB9u6FejQQYMDGZOwdvjbbweWLQuggdxc4KuveIHZE1lZHLkfO9Zzr+0oeilf3hBFL3ry+OPA+fP8c6rGv/8CzZuH7XAeCHOHr1mTR9Kys78+/BB45BHPc+3Ll1l08okneD91d86dM2TRi14IAkv+HTigYkVjmA/ngTB3eADo1YtX1CSTlcVKtIMHl/2bs3Z8w4auf3MUveTnG7boRS8EAXjuOda8//FHFQ6weTPQubMKDQcPYe/wAwb46FF8hY5nzfKc/56Xx84+fHjZjLsgKnrRC5OJ1+d/+UXmg9gbGRn8m4f4yoc/wt7hr72Wl7wlpXqePMnVbb16ub5fUMC59EOGAK1bl75PxAc5fTqoil70wmzmgsNly7hTVoQlS6SLkYQgYe/wAO/a7PXG8tQLe0qhLSzku3TgQFfteEfRi80GNG4cdEUvemG1clLOwoUcWA+Yn38GevRQoKHgJuLwkKhou38/F7N07Fj6nt3Od2evXq7a8RcuhETRi144NO8//zxAzfvTpznZKQRqEQIl4vDglZp9+0TmdU+f7lr+arfzfP7mm3mo4Hjv8GGes4dI0YtexMSUat7/+6/MRpYvjwzni4k4fDEJCUBqqp8P7djBd2CLFvxvIlambd26VDveUfRSpUrIFb3oRfnyvB/HrFm8wCGZH38E+vRR3K5gJOLwxbgP6+2euvsZMzgXHmBnnz2bnfq22/i906dZWaNxY3nbSkXwSqVK3NO/9BIH3P1Rcv0uXuS4SSRQCiDi8CUQbUNy8j+Ii4uHzWaD2WyGzWZDfHw8xowZg7RPP2VHdiTRzJvHlWyDB3PAbv9+fgg0bcoRpwiK49C8f+GFspr327Ztw5gxYxAf73r9JrRrhy8zM7Ft2zZdbDYcFOakp6dTUlISASBBeJOAlgTA5WUxm2kFQP1vvpnS09OJUlKI5szhBrKyiPbuJcrO1vdEwohjx4hGjCA6c8b1+lksljLXbgFANc1mAkBJSUl8/cKYsHb45ORkioqKcrpREgl4rsxNcztAzxbfUHdaLLRlxAiioiKijAyiQ4f4/yNoyqFDRN26pZPNVsujowOgGIC+d35wWywUFRVFKSkpepuvG2Hr8MnJySQIgttNYiJguct7JoDWABQLUF+AngQoGqClr79OdP683qcRtiQnJxPQlIBPCKjg0eFvB+gRD+8LgkDJycl6n4IuCESa6o0YgvT0dLRt2xZXr1718NePALwCgHdDfABALIA0AAkAPgdQBcBJmw3b9+xBkyZNtDE6Qgmu168lgCcBPAMgx+VznwGYAuCkhzaioqKwe/fusLt+YRm0GzVqFIqKirz8dTGAQQCAKLDD7wXQGcB3AKwA0gHk2e0YOXKk6rZGKIvr9dsLfki/Dr5ijAVADXh2dgAoKioKy+sXdj18amoqEhISfHzCCmARgIF4AkB5AOUApAA4DCDbQ3vtxW46ESFgvF+/GwDcC2AcgAL0BBAP4A0R7YXT9Qu7Hn7evHmw+KyYKgCQiQqojnsA1ALwBbgfcXd2i8WCuZrItERw4P36bQE/qF8GYMYgAEv8tBWO1y/sHH7jxo0o9FsatxSvohouAHgNwD4AnrJuCwsLsWnTJsVtjOAd39dvE4AfIWAaGgLwl5QXjtcv7Ib0NpsNBQUFvj+DKGxDJXTBGfjb6dhqtSLfEHsnhQdirl8TdMNAnMEb+Mdve+F2/cLK4e12O8wqlKcWFRXBFMZ6dFoRuX6BEx5nWYzJZIJV4bRXq9UaNjeL3kSuX+CEz5kW06pVK0Xba+2sbBNBdSLXLzDCzuG7dOniJ0ovHovFgsTEREXaiiCOyPULjLBz+BEjRoiI0oujsLAQI7xp0kdQhcj1C4ywc/j27dsjKSkp4F7CYrEgKSkprJI2jEDk+gVGWEXpHezfvx9t2rTxkksvjnDNxTYCkesnn7Dr4QGgSZMmmDt3LgSZ8lOCIGDu3Llhd7MYhcj1CwC9yvSMQNl6eN+vSD21sYhcP+mEtcMT+VdMcX6/a9euYa+YYjQi108aYTmH98S2bdswd+5cbNq0CXv27EFBQQGsVitat26NxMREjBgxIuwCPMFE5PqJI+LwESKEEWEZtIsQIVyJOHyECGFExOEjRAgjIg4fIUIYEXH4CBHCiIjDR4gQRkQcPkKEMCLi8BEihBH/D+lcRQR4h2OVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.decoder.plot(metric='act')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
